Question $1)[60$ Pts$]$

A $2-$phase vertical separator is used to separate the feed into two streams which are:

A gas having a specific gravity of $0\mathrm{.}68$ and a compressibility factor of $0\mathrm{.}84.$

A liquid $($condensate$)$ having $40$ API gravity.

The condensate load is $650bb\frac{l}{d}ay.$ The depth of the liquid inside the separator is $1\mathrm{.}2ft.$

The separator operates at a pressure of $580g$ and a temperature of $530R$ where the

residence time of the condensate is $1\mathrm{.}5$min. Calculate:

A$)$ Diameter of the vessel $($in $ft][10$ Pts$]$

B$)$ Total vessel height $($in $ft)[10$ Pts$]$

C$)$ Rising velocity of the gas $($in $f\frac{t}{s})[20$ Pts$]$

D$)$ Actual volumetric flow rate of the gas $($in $f\frac{t^3}{s})[10$ Pts$]$

E$)$ Maximum standard gas flow rate $($MMscfd$)[10$ Pts$]$